Write the number as a product of a real number and \( i \). Simplify all radical expressions. \( \sqrt{-12} \) \( \sqrt{-12}=\square \) (Simplify your answer. Type your answer in the form a + bi. Type an exact answer, using radicals as needed.)

To write \( \sqrt{-12} \) as a product of a real number and \( i \), we first express it using \( i \): \[ \sqrt{-12} = \sqrt{12} \cdot \sqrt{-1} = \sqrt{12} \cdot i \] Next, we simplify \( \sqrt{12} \): \[ \sqrt{12} = \sqrt{4 \cdot 3} = \sqrt{4} \cdot \sqrt{3} = 2\sqrt{3} \] Putting it all together, we have: \[ \sqrt{-12} = 2\sqrt{3} \cdot i \] So, the simplified form is: \[ \sqrt{-12} = 0 + 2\sqrt{3}i \]